#pragma GCC optimization ("O3")

#include <bits/stdc++.h>

using namespace std;

using ll = long long;
using vec = vector<ll>;
using mat = vector<vec>;
using pll = pair<ll,ll>;
using dvec = vector<double>;
using dmat = vector<dvec>;

#define INF (1LL<<61)
#define MOD 1000000007LL 
//#define MOD 998244353LL

#define PR(x) cout << (x) << endl
#define PS(x) cout << (x) << " "
#define REP(i,m,n) for(ll (i)=(m),(i_len)=(n);(i)<(i_len);++(i))
#define FORE(i,v) for(auto (i):v)
#define ALL(x) (x).begin(), (x).end()
#define SZ(x) ((ll)(x).size())
#define REV(x) reverse(ALL((x)))
#define ASC(x) sort(ALL((x)))
#define DESC(x) {ASC((x)); REV((x));}
#define BIT(s,i) (((s)>>(i))&1)
#define pb push_back
#define fi first
#define se second

template<class T> inline int chmin(T& a, T b) {if(a>b) {a=b; return 1;} return 0;}
template<class T> inline int chmax(T& a, T b) {if(a<b) {a=b; return 1;} return 0;}

class mint {
public:
    ll x;
    mint(ll x=0) : x((x%MOD+MOD)%MOD) {}
    mint operator-() const {return mint(-x);}
    mint& operator+=(const mint& a) {if((x+=a.x)>=MOD) x-=MOD; return *this;}
    mint& operator-=(const mint& a) {if((x+=MOD-a.x)>=MOD) x-=MOD; return *this;}
    mint& operator*=(const mint& a) {(x*=a.x)%=MOD; return *this;}
    mint operator+(const mint& a) const {mint b(*this); return b+=a;}
    mint operator-(const mint& a) const {mint b(*this); return b-=a;}
    mint operator*(const mint& a) const {mint b(*this); return b*=a;}
    mint pow(ll t) const {if(!t) return 1; mint a=pow(t>>1); return (t&1?*this*a:a)*a;}
    mint inv() const {return pow(MOD-2);}
    mint& operator/=(const mint& a) {return *this*=a.inv();}
    mint operator/(const mint& a) const {mint b(*this); return b/=a;}
};
istream &operator>>(istream& is, mint& a) {ll t; is>>t; a=t; return is;}
ostream &operator<<(ostream& os, const mint& a) {return os<<a.x;}
using mvec = vector<mint>;
using mmat = vector<mvec>;

vec P = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31};

map<ll,ll> factorize(ll n)
{
    map<ll,ll> ret;
    FORE(p,P) {
        ll c = 0;
        while(n%p == 0) n /= p, ++c;
        ret[p] = c;
    }
    return ret;
}

int main()
{
    ll T;
    cin >> T;

    vector<map<ll,ll>> D(32);
    REP(i,2,32) D[i] = factorize(i);

    while(T--) {
        ll X;
        cin >> X;
        ll cnt1 = 1;
        map<ll,ll> C = factorize(X);
        FORE(c,C) cnt1 *= c.se+1;
        REP(i,2,32) {
            ll cnt2 = 1;
            map<ll,ll> T = C;
            FORE(d,D[i]) T[d.fi] += d.se;
            FORE(t,T) cnt2 *= t.se+1;
            if(cnt1*2 == cnt2) {
                PR(X*i);
                break;
            }
        }
    }

    return 0;
}

/*



*/